100585204613 has 2 divisors, whose sum is σ = 100585204614. Its totient is φ = 100585204612.

The previous prime is 100585204561. The next prime is 100585204649. The reversal of 100585204613 is 316402585001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77248975969 + 23336228644 = 277937^2 + 152762^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585204613 - 2¹⁶ = 100585139077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100585204673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292602306 + 50292602307.

It is an arithmetic number, because the mean of its divisors is an integer number (50292602307).

Almost surely, 2^100585204613 is an apocalyptic number.

It is an amenable number.

100585204613 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585204613 is an equidigital number, since it uses as much as digits as its factorization.

100585204613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 100585204613 its reverse (316402585001), we get a palindrome (416987789614).

The spelling of 100585204613 in words is "one hundred billion, five hundred eighty-five million, two hundred four thousand, six hundred thirteen".